What is axiom? Recall the axiom that things which are equal to the same thing are equal to one another. Recall the axiom that if equals are added to equals, the wholes are equal Recall the axiom that if equals are subtracted from equals, the remainders are equal. Recall the axiom that things which coincide with one another are equal to one another. Recall the axiom that the whole is greater than the part. Recall the axiom that things which are double of the same things are equal to one another. Recall the axiom that things which are halves of the same things are equal to one another. Recall and solve axiom 5.1 that given two distinct points, there is a unique line that passes through them.